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Finding the Fourth Proportional to 64.89, 97.68 and 56.07

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Solution

The fourth proportional to 64.89, 97.68 and 56.07 is: 84.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.89 : 97.68 = 56.07 : x
  2. Step 2: Convert to fraction form
    64.89/97.68 = 56.07/x
  3. Step 3: Cross multiply
    64.89x = 97.68 × 56.07
  4. Step 4: Simplify right side
    64.89x = 5,476.92
  5. Step 5: Solve for x
    x = 5,476.92/64.89
  6. Step 6: Final answer
    x = 84.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.